most citedA note on Li-Yau type gradient estimate

2 citations · 4 across the 6 of their papers we have counts for

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6 papers

math.DG2018

Sharp Li-Yau type gradient estimates on hyperbolic spaces

Chengjie Yu, Feifei Zhao

In this paper, motivated by the works of Bakry et. al in finding sharp Li-Yau type gradient estimate for positive solutions of the heat equation on complete Riemannian manifolds wi…

math.DG2018★ 1 cited

Li-Yau multiplier set and optimal Li-Yau gradient estimate on hyperbolic spaces

Chengjie Yu, Feifei Zhao

In this paper, motivated by finding sharp Li-Yau type gradient estimate for positive solution of heat equations on complete Riemannian manifolds with negative Ricci curvature lower…

math.DG2018

Heat kernel recurrence on space forms and applications

Chengjie Yu, Feifei Zhao

In this paper, we first give a direct proof for two recurrence relations of the heat kernels for hyperbolic spaces in \cite{DM}. Then, by similar computation, we give two similar r…

math.DG2017

Affine Self-similar solutions of the affine curve shortening flow I: The degenerate case

Chengjie Yu, Feifei Zhao

In this paper, we consider affine self-similar solutions for the affine curve shortening flow in the Euclidean plane. We obtain the equations of all affine self-similar solutions u…

math.DG2017★ 1 cited

On the Li-Yau type gradient estimate of Li and Xu

Zhigang Chen, Chengjie Yu, Feifei Zhao

In this paper, we obtain a Li-Yau type gradient estimate with time dependent parameter for positive solutions of the heat equation, so that the Li-Yau type gradient estimate of Li-…

math.DG2017★ 2 cited

A note on Li-Yau type gradient estimate

Chengjie Yu, Feifei Zhao

In this paper, we obtain Li-Yau type gradient estimates with time dependent parameter for positive solutions of the heat equation that are different with the estimates by Li-Xu \ci…